Abstract
We study a continuous time random walk X in an environment of i.i.d. random conductances μe∈[1, ∞). We obtain heat kernel bounds and prove a quenched invariance principle for X. This holds even when ${\mathbb{E}}\mu_{e}=\infty$.
Citation
M. T. Barlow. J.-D. Deuschel. "Invariance principle for the random conductance model with unbounded conductances." Ann. Probab. 38 (1) 234 - 276, January 2010. https://doi.org/10.1214/09-AOP481
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